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Finding the Fourth Proportional to 92.20, 127.34 and 81.86

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Solution

The fourth proportional to 92.20, 127.34 and 81.86 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.20 : 127.34 = 81.86 : x
  2. Step 2: Convert to fraction form
    92.20/127.34 = 81.86/x
  3. Step 3: Cross multiply
    92.20x = 127.34 × 81.86
  4. Step 4: Simplify right side
    92.20x = 10,424.05
  5. Step 5: Solve for x
    x = 10,424.05/92.20
  6. Step 6: Final answer
    x = 113.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.